1. When conducting a significance test to determine if there is a difference between two treatments, with a quantitative response variable, treatments are given to different experimental units, we summarize the data by:
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computing the mean and standard deviation of each treatment group separately.
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computing the difference in the responses for each experimental unit under both treatments, and then finding the mean and standard deviation of the differences.
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computing the difference in the proportion of the sample that reacted better to treatment one and the proportion of the sample that reacted better to treatment two.
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computing the proportion of the sample that reacted better to treatment one than treatment two.
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2. A social scientist is interested in determining if there is a significant difference in the proportion of Republicans between two areas of town. He takes independent random samples of 200 families in each area of town and a significance test was conducted. The p-value was 0.416. What should be our conclusions?
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We do not have statistical significant evidence to say that there is a significant difference in proportion of Republicans in the two areas of town.
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The evidence is very strong - there is a difference in proportion of Republicans between the two areas of town.
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The evidence is pretty strong - there is a difference in proportion of Republicans between the two areas of town.
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